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Writing proportions - Printable Mathematics Worksheets year 7 - Wayground

Writing proportions

17 questions

7th - 7th Grade

Mathematics

Writing Proportions is a Grade 7 mathematics worksheet that helps students represent and solve proportional relationships. Across 17 questions—6 multiple-select and 11 multiple-choice—students select correct proportions, match situations to proportion equations, solve for unknown values, determine whether ratios form a proportion, and interpret tables. Contexts include distances and rates, membership costs, running time, model scale, recipes, paint mixtures, test percentages, and completed passes. This worksheet is designed for students who are developing fluency with setting up proportions before calculating an answer. The varied question types require them to identify corresponding quantities, preserve the order of ratios, and evaluate possible equations and solutions rather than relying only on computation. It is a free printable worksheet with a complete answer key, making it useful for independent practice, guided instruction, review, or a formative check of Grade 7 proportional reasoning.

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Worksheets

Writing proportions

Total questions: 17

Name
Class
Date
1.

Select the correct proportion(s).

Romina drove 75 miles and used 5 gallons of gas. How far could she go on 16 gallons of gas?

a)
b)
c)
d)
2.

Select and solve a proportion for the situation below.

A 2-month membership to the gym costs $180. Ryker would like to be a member for 7 months. What is the total cost?

a)

x = $51.43

b)
c)
d)

x = $630

e)

x = $2520

3.

Select and solve a proportion for the situation below.

Latyana can run 3 miles in about 24 minutes. How long will it take her to run 5 miles?

a)
b)

x = 40 min.

c)
d)

x = 360 min.

e)

x = 35 min.

4.

Select the correct situation for the proportion above.

a)

Eisenhower bought 3 cheese pizzas for every 10 pepperoni pizzas.  How many cheese pizzas did Eisenhower buy if they bought 14 pepperoni pizzas?

b)

Eisenhower bought 10 cheese pizzas for every 3 pepperoni pizzas.  How many pepperoni pizzas did Eisenhower buy if they bought 14 cheese pizzas?

c)

Eisenhower bought 3 cheese pizzas for every 10 pepperoni pizzas.  How many pepperoni pizzas did Eisenhower buy if they bought 14 cheese pizzas?

d)

Eisenhower bought 10 cheese pizzas for every 14 pepperoni pizzas.  How many cheese pizzas did Eisenhower buy if they bought 3 pepperoni pizzas?

e)

Eisenhower bought 10 cheese pizzas for every 14 pepperoni pizzas.  How many pepperoni pizzas did Eisenhower buy if they bought 3 cheese pizzas?

5.

Select and solve a proportion for the situation below.

The scale of a model dinosaur is 1/2 inch for every 15 feet in real life. How tall would a model dinosaur be if the real life dinosaur was 90 feet tall?

a)
b)

x = 30 inches

c)

x = 3 inches

d)
e)

x = 675 inches

6.

Select the correct situation and solution for the proportion above.

a)

Ms. McGuire uses 3/4 of a cup of sugar to bake 64 cookies. How much sugar will she need for 24 cookies?

b)

Mrs. Garcia uses 3/4 of a teaspoon of vanilla to bake 24 brownies. How much vanilla will she need for 64 brownies?

c)

Ms. Dawe uses 3/4 of a bag of chocolate chips to make 24 cupcakes. How many cupcakes can she make with 64 bags of chocolate chips?

d)

x = 2

e)

x = 3.5

7.

Which proportion shows how many points a student needs to get on the test that is worth 36 points to get a 30%?

a)

p36=30100\frac{p}{36}=\frac{30}{100}

b)

p30=10036\frac{p}{30}=\frac{100}{36}

c)

p36=10030\frac{p}{36}=\frac{100}{30}

d)

p100=3630\frac{p}{100}=\frac{36}{30}

8.

The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 24 passes, how many did he complete?

a)

21 passes

b)

8 passes

c)

3 passes

d)

27 passes

9.

Select all possible proportions that model the table.

a)

d72=54216\frac{d}{72}=\frac{54}{216}

b)

5472=d216\frac{54}{72}=\frac{d}{216}

c)

d216=7254\frac{d}{216}=\frac{72}{54}

d)

d54=72216\frac{d}{54}=\frac{72}{216}

e)

54d=72216\frac{54}{d}=\frac{72}{216}

10.

Which proportion shows how many points a student needs to get on the test that is worth 55 points to get a 11%?

a)

p55=11100\frac{p}{55}=\frac{11}{100}

b)

55p=11100\frac{55}{p}=\frac{11}{100}

c)

p100=1155\frac{p}{100}=\frac{11}{55}

d)

p11=55100\frac{p}{11}=\frac{55}{100}

11.

Which proportion shows how many points a student needs to get on the test that is worth 10 points to get a 50%?

a)

p10=50100\frac{p}{10}=\frac{50}{100}

b)

p50=10010\frac{p}{50}=\frac{100}{10}

c)

p10=10050\frac{p}{10}=\frac{100}{50}

d)

p100=1050\frac{p}{100}=\frac{10}{50}

12.

To make green paint, a mixture of paint must contain 2 parts blue pain to 9 parts yellow paint. How much yellow paint is needed when there is 36L of blue paint?

a)

8L of blue paint

b)

18L of blue paint

c)

182L of blue paint

d)

72L of Blue paint

13.

Solve the proportion 67=42x\frac{6}{7}=\frac{42}{x}  

a)

x=42x=42  

b)

x=49x=49  

c)

x=36x=36  

d)

x=7x=7  

14.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
15.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
16.

In the old west, the pony express could deliver 150 pieces of mail by horseback in 3 days. At this rate, how many pieces of mail could they deliver in 5 days?

a)

250

b)

185

c)

450

d)

300

17.

If the Hawks won 100 games and lost 60, what is the simplified ratio of wins to losses?

a)

10 to 6

b)

5 to 3

c)

6 to 10

d)

3 to 5

Answer Key

Writing proportions

Total questions: 17

1.
a) , d)
2.
b) , d)

x = $630

3.
b)

x = 40 min.

, c)
4.
c)

Eisenhower bought 3 cheese pizzas for every 10 pepperoni pizzas.  How many pepperoni pizzas did Eisenhower buy if they bought 14 cheese pizzas?

5.
c)

x = 3 inches

, d)
6.
b)

Mrs. Garcia uses 3/4 of a teaspoon of vanilla to bake 24 brownies. How much vanilla will she need for 64 brownies?

, d)

x = 2

7.
a)

p36=30100\frac{p}{36}=\frac{30}{100}

8.
a)

21 passes

9.
b)

5472=d216\frac{54}{72}=\frac{d}{216}

, e)

54d=72216\frac{54}{d}=\frac{72}{216}

10.
a)

p55=11100\frac{p}{55}=\frac{11}{100}

11.
a)

p10=50100\frac{p}{10}=\frac{50}{100}

12.
c)

182L of blue paint

13.
b)

x=49x=49  

14.
a) Yes, they form a proportion.
15.
a) x=6
16.
a)

250

17.
b)

5 to 3

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FAQs

What does this writing proportions worksheet cover?

This Grade 7 mathematics worksheet focuses on writing, selecting, and solving proportions in multiple-choice and multiple-select formats. Students model rates, costs, scale drawings, recipes, percentages, ratios, and table relationships, then solve for unknown values or decide whether two ratios form a proportion.

How can I use this worksheet to teach students to write proportions?

Have students identify the two corresponding quantities in each situation before choosing an equation, such as miles per gallon, cost per month, or blue paint compared with yellow paint. Ask them to explain why the units and order match on both sides, then use the worksheet’s select-and-solve items to connect a verbal situation with its proportion and solution.

What mistakes should I watch for when students complete this worksheet?

Students may reverse the order of quantities, match unlike units, or choose a proportion that uses the correct numbers in the wrong relationship. Also watch for errors in percentage-of-a-test items, confusing the unknown with the given total, and selecting only one answer on multiple-select questions when more than one proportion or component is required.

How do I assign and grade this writing proportions worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for checking the proportion setups and solutions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through Wayground.

How can I differentiate this proportions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the proportion equations, answer choices, and real-world scenarios are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its multiple-choice and multiple-select format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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